Answer: m= 35.6 kg
Explanation:
For finding the mass of the stone we have the formula
v= 
Here, Tension= m*g = m*9.81
and linear mass density= 
Linear mass density= 
Linear mass density= 0.0127 kg/m
Velocity= 
Velocity= 2 * 
Velocity= 165.8 m/s
So putting all these values in equation we get
v= 
165.8= 
Solving we get
m= 35.58 kg
or m= 35.6 kg
Answer:
Explanation:
Let the height of the tree is y and the distance of tree from point B is x.
According to the diagram

x = 0.55 y ..... (1)

(50 + 0.55y) 1.17 = y ..... from equation (1)
58.5 + 0.644 y = y
0.356 y = 58.5
y = 164.3 ft
Answer:
The answer is: c. It does not move
Explanation:
Because the gravitational force is characterized by being an internal force within the Earth-particle system, in this case, the object of mass M. And since in this system there is no external force in the system, it can be concluded that the center of mass of the system will not move.
Answer:
0.5 m
Explanation:
Givens:
ym1 = 2.5 mm
ym2 = 4.5 mm
Ф_1=π / 4
Ф_2=π / 2
We have 2 ways to solve this problem. The first one given that the 2 waves have the frequency then we know that the resultant wave amplitude is
Ym = (ym1 + ym2)cos(Ф_2/2)
By substitution we have
Ym= (0.025 + 0.045)cos(π/4) = 0.496 m
The second one is it treat them as Phasors where the phase between them is Ф_2=π / 2 Therefore
Ym^2=(ym1^2+ym2^2)
So we have Ym=√0.025^2+0.045^2
= 0.5 m